Find the Center, Foci, and Vertices of the Ellipse $$\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1$$

question 42

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1$$

• A) center at \(( 0,0 )\)
• foci at \(( - 2 \sqrt { 3 } , 0 )\) and \(( 2 \sqrt { 3 } , 0 )\)
• vertices at \(( - 4,0 ) , ( 4,0 )\)
• B) center at \(( 0,0 )\)
• foci at \(( 0,4 )\) and \(( 2,0 )\)
• vertices at \(( 0,16 ) , ( 4,0 )\)
• C) center at \(( 0,0 )\)
• foci at \(( 0 , - 4 )\) and \(( 0,4 )\)
• vertices at \(( 0 , - 16 ) , ( 0,16 )\)
• D) center at \(( 0,0 )\)
• foci at \(( 0 , - 2 \sqrt { 3 } )\) and \(( 0,2 \sqrt { 3 } )\)
• vertices at \(( 0 , - 4 ) , ( 0,4 )\)

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